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Determine if the following are true or false and explain why. The normal curve p

ID: 3498609 • Letter: D

Question

Determine if the following are true or false and explain why. The normal curve provided above will help you answer these questions.

Matthew is a sixth grader. He obtains a percentile score of 70 in reading on a published standardized test. This means that Matthew got 70% of the items correct.

Henrietta gets a raw score of 70 correct on reading. She is in Matthew’s sixth grade class. This score and Matthew’s percentile score of 70 indicate that Henrietta and Tim are both good readers.

Marshall receives a percentile score of 90 at the beginning of the year and moves up to a percentile score of 99 by the end of the year. Scott, similarly, moves from the 50th percentile to the 59th. They make about equal progress.

There is little difference between Judy’s score of the 98th percentile and Keith’s score of the 99.5th percentile, but there is a large difference between Tammy’s 85th percentile and Judy’s 98th percentile.

340% 340% 13 5% 135% 225% 225% -3 SD SD-1 SD 2-scoro -30 -20 +1.0203.0 1 5 10 20 3040506070 80 90 9599 T-soore 50 60 70 70 100 115 130 145 23 4 5 678 1 2 3 4 5 6 78910 SAT 400 800 21 38 NCE 1 10 20 30 40 50 60 70 80 90 99

Explanation / Answer

1. False. A percentile score of 70 in means that Matthew’s score was above 70% of the scores of the other test takers.

2. False. We need to calculate Henirietta’s percentile score as well to make comparisons. It maybe that 70 is the below average score or average score in the class.

3. False. We can say that the progress is equal because the intervals in the percentile scale are not equal.

4. False. Again, we cannot assume whether the difference in the scores is large or small because the intervals in the percentile scale are not equal.

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